Economists define the ‘certainty equivalent’ of a risky stream of income as the amount of guaranteed money an individual would accept instead of taking a risk. The certainty equivalent varies between individuals based on their risk preference.   Consider a risky bet that involves a 25% chance of losing $5,000 or a 75% winning $5,000 for an individual with starting income of $50,000. Calculate the certainty equivalent income that provides the same utility as this bet for individuals with these different utility functions: 1. U(I) = I

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.2P
icon
Related questions
Question

Economists define the ‘certainty equivalent’ of a risky stream of income as the amount of guaranteed money an individual would accept instead of taking a risk. The certainty equivalent varies between individuals based on their risk preference.

 

Consider a risky bet that involves a 25% chance of losing $5,000 or a 75% winning $5,000 for an individual with starting income of $50,000. Calculate the certainty equivalent income that provides the same utility as this bet for individuals with these different utility functions:

1. U(I) = I

2. U(I) = I–√

3. U(I) = ln(I)where ln represents the natural logarithm function

Type the numerical answers in the corresponding numbered boxes below. Round your answers to two decimal places. Do not use $ or , in your answers. (for example, enter 45223.45 or 46500.00)

 
 
What can you conclude about the relative level of risk aversion for these three individuals? Explain.
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Risk Aversion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage